Members of the public will be able to sign the books in the Guildhall in Derry from 10 o'clock this morning and in Belfast City Hall from 9 o'clock Monday morning.
Politicians across the world have paid tribute to the controversial figure – who's being remembered as a man who “began as the militant, and ended as the peace-maker”.
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His family says his funeral will be private, but that a public memorial will be held for him later this year.
President Michael D Higgins has extended his sympathies to Mr Paisley's family.